pisa 數學素養的評量設計與台灣學生的表現

PISA

[email protected]

PISAThe Programme for International Student Assessment (PISA) is a triennial world-wide test of 15-year-old schoolchildren's scholastic performance, the implementation of which is coordinated by the Organisation for Economic Co-operation and Development (OECD). PISA was first mooted in 1997.

What is the OECD? 30 - - - -

OECD Member Countries

Comparison with TIMSS and PIRLS Trends in International Mathematics and Science Study (TIMSS)

Progress in International Reading Literacy Study ( PIRLS )

15PISA

200043200341200656PISA 200967800~1,2004,500~10,000PISA

200020152000 () 2003 () 2006 () 2009

PISA

.PISA(mathematising) 1.2.3.(trimming away the reality)4.5.

M537 = 220 - = 208 - ( 0.7 )

NubenKado

ZoeAngazKadoLapat300kmZoeKadoLapatZoe

.

PISA

10004%3%10

.(overarching ideas) OECD/PISA

1.2.3.4.

A3750.5B2500.75C2003502001.02

1400600

60000

60000

1

(predator)(prey)predatorprey

Prey-predatorpredatorprey

Karl Friedrich Gauss(1777-1855)1100Gauss

1+2+3+.+98+99+100100+99+98++3+2+1101+101+.+101+1011001011011005050

100

1221201400

()98

Carl50Zedland5%5%Carl5%

40%6030

Zedland197034200198030500199031200197013500198013850199015777Zedland

Zedland

100 000

11960100 000

. ()mathematisation

()(the competencies)mathematisationPISA(competencies)Thinking and ReasoningArgumentationCommunicationModelling

5.Problem posing and solving6.Representation,7.Using symbolic, formal and technical language and operations8.Use of aids and tools

.(competency clusters)1.(reproduction)2.(connection)3.(reflection)

(1)reproduction cluster

7x-3=13x+15

7,12,8,14,15,9

10004%

8100

1

0.147

10.09

2

0.136

9.99

3

0.197

9.87

4

0.180

5

0.210

10.17

6

0.216

10.04

7

0.174

10.08

8

0.193

10.13

M438

Zedlandzeds

1996-2000Zedland

(zeds)

2000Zedland

22000Zedlandzeds(A) 1.8 zeds(B) 2.3 zeds(C) 2.4 zeds(D) 3.4 zeds(E) 3.8 zeds

(2)connection cluster

zedsA58-95475zeds100-120800zeds

B35-26090zeds

110AB

303040401

(3)reflection cluster ( reflectiveness)()

M479

______________________________________________________________

1

160150(Alena)180(Zdenek)130

/

/

/

/

/

1A. 2B. 3C. 5D. 12

. ()1.PISA PISA1515

2.

PISA

Martin83

A.B.C.D.

ABCDEFGHNKLME

F

G

H

12

_1246874436.unknown

_1246874516.unknown

_1246874523.unknown

_1246874397.unknown

1:ABCD ABCD =

() (reproduction, connections and reflection)121

20062005 Field Trail2005/03/15 ~ 2005/04/152006 Main Study2006/04/15 ~ 2006/05/15

Sampling (Main Study)

2 20-30 20

13 (booklet) 4 (cluster)(cluster) 6-9 48

http://pisa-sq.acer.edu.au/

Test Booklet Design PISA 2006 MS

ClusterUnit numberItem numberTotal item numberS1522

140S2519S3520S4520S5619S6519S7621M1612

48M2812M3912M4812R141328R2415Total75216216

13 12 13 1 2 40 3 (40/13) 236 8815(318691) 678 (8815/13)

PISA2006

1

2

2

7

1

13

3

2

2

0

6

13

3

2

2

3

1

11

5

3

0

1

2

11

12

9

6

11

10

48

3

7

2

4

8

24

4

2

2

5

0

13

5

0

2

2

2

11

12

9

6

11

10

48

3

2

1

1

2

9

7

2

3

3

3

18

0

0

0

0

1

1

1

3

2

1

0

7

1

2

0

5

4

12

0

0

0

1

0

1

12

9

6

11

10

48

6

(687)-1

5

(620)-16

4

(586)-11

3

(525)-7

2

(421)-2

1

(406)-9

1

>669.3

607.0

544.7

482.4

420.1

357.8

3-10.

Lower

Score

limit

6

669.3

6

5

607.0

5

4

544.7

4()

3

482.4

3

2

420.1

2

1

357.8

1

1 ( 357.8)

1(357.8~ 420.1)

2(420.1~ 482.4)

3(482.4~ 544.7)

4(544.7~ 607.0)

5( 607.0~ 669.3 )

6( 669.3)

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

3.6

(0.6)

8.3

(0.7)

14.3

(0.9)

19.4

(0.7)

22.4

(0.8)

20.1

(0.9)

11.8

(0.8)

1.1

(0.2)

4.8

(0.5)

14.4

(0.7)

27.2

(0.7)

28.1

(0.8)

18.1

(0.8)

6.3

(0.5)

2.9

(0.5)

6.6

(0.6)

14.4

(0.8)

22.7

(1.1)

25.6

(0.9)

18.7

(0.8)

9.0

(0.8)

2.3

(0.5)

6.5

(0.7)

15.2

(0.7)

23.5

(1.1)

25.5

(1.0)

18.0

(0.8)

9.1

(1.3)

3.4

(0.5)

9.6

(0.9)

18.3

(0.9)

26.3

(0.9)

24.3

(0.9)

13.4

(0.8)

4.7

(0.5)

OECD total

10.1

(0.3)

16.2

(0.3)

23.2

(0.4)

22.8

(0.4)

16.8

(0.3)

8.4

(0.2)

2.6

(0.1)

OECD average

7.7

(0.1)

13.5

(0.1)

21.9

(0.2)

24.3

(0.2)

19.1

(0.2)

10.1

(0.1)

3.4

(0.1)

31.924.427.727.1

1 ( 357.8)

1(357.8~ 420.1)

2(420.1~ 482.4)

3(482.4~ 544.7)

4(544.7~ 607.0)

5( 607.0~ 669.3 )

6( 669.3)

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

3.6

(0.6)

8.3

(0.7)

14.3

(0.9)

19.4

(0.7)

22.4

(0.8)

20.1

(0.9)

11.8

(0.8)

1.1

(0.2)

4.8

(0.5)

14.4

(0.7)

27.2

(0.7)

28.1

(0.8)

18.1

(0.8)

6.3

(0.5)

2.9

(0.5)

6.6

(0.6)

14.4

(0.8)

22.7

(1.1)

25.6

(0.9)

18.7

(0.8)

9.0

(0.8)

2.3

(0.5)

6.5

(0.7)

15.2

(0.7)

23.5

(1.1)

25.5

(1.0)

18.0

(0.8)

9.1

(1.3)

3.4

(0.5)

9.6

(0.9)

18.3

(0.9)

26.3

(0.9)

24.3

(0.9)

13.4

(0.8)

4.7

(0.5)

OECD total

10.1

(0.3)

16.2

(0.3)

23.2

(0.4)

22.8

(0.4)

16.8

(0.3)

8.4

(0.2)

2.6

(0.1)

OECD average

7.7

(0.1)

13.5

(0.1)

21.9

(0.2)

24.3

(0.2)

19.1

(0.2)

10.1

(0.1)

3.4

(0.1)

54.352.553.252.6

1 ( 357.8)

1(357.8~ 420.1)

2(420.1~ 482.4)

3(482.4~ 544.7)

4(544.7~ 607.0)

5( 607.0~ 669.3 )

6( 669.3)

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

3.6

(0.6)

8.3

(0.7)

14.3

(0.9)

19.4

(0.7)

22.4

(0.8)

20.1

(0.9)

11.8

(0.8)

1.1

(0.2)

4.8

(0.5)

14.4

(0.7)

27.2

(0.7)

28.1

(0.8)

18.1

(0.8)

6.3

(0.5)

2.9

(0.5)

6.6

(0.6)

14.4

(0.8)

22.7

(1.1)

25.6

(0.9)

18.7

(0.8)

9.0

(0.8)

2.3

(0.5)

6.5

(0.7)

15.2

(0.7)

23.5

(1.1)

25.5

(1.0)

18.0

(0.8)

9.1

(1.3)

3.4

(0.5)

9.6

(0.9)

18.3

(0.9)

26.3

(0.9)

24.3

(0.9)

13.4

(0.8)

4.7

(0.5)

OECD total

10.1

(0.3)

16.2

(0.3)

23.2

(0.4)

22.8

(0.4)

16.8

(0.3)

8.4

(0.2)

2.6

(0.1)

OECD average

7.7

(0.1)

13.5

(0.1)

21.9

(0.2)

24.3

(0.2)

19.1

(0.2)

10.1

(0.1)

3.4

(0.1)

11.95.99.58.8

1 ( 357.8)

1(357.8~ 420.1)

2(420.1~ 482.4)

3(482.4~ 544.7)

4(544.7~ 607.0)

5( 607.0~ 669.3 )

6( 669.3)

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

%

S.E.

3.6

(0.6)

8.3

(0.7)

14.3

(0.9)

19.4

(0.7)

22.4

(0.8)

20.1

(0.9)

11.8

(0.8)

1.1

(0.2)

4.8

(0.5)

14.4

(0.7)

27.2

(0.7)

28.1

(0.8)

18.1

(0.8)

6.3

(0.5)

2.9

(0.5)

6.6

(0.6)

14.4

(0.8)

22.7

(1.1)

25.6

(0.9)

18.7

(0.8)

9.0

(0.8)

2.3

(0.5)

6.5

(0.7)

15.2

(0.7)

23.5

(1.1)

25.5

(1.0)

18.0

(0.8)

9.1

(1.3)

3.4

(0.5)

9.6

(0.9)

18.3

(0.9)

26.3

(0.9)

24.3

(0.9)

13.4

(0.8)

4.7

(0.5)

OECD total

10.1

(0.3)

16.2

(0.3)

23.2

(0.4)

22.8

(0.4)

16.8

(0.3)

8.4

(0.2)

2.6

(0.1)

OECD average

7.7

(0.1)

13.5

(0.1)

21.9

(0.2)

24.3

(0.2)

19.1

(0.2)

10.1

(0.1)

3.4

(0.1)

Chart1

3.6

8.3

14.3

19.4

22.4

20.1

11.8

Sheet1

(357.8~ 420.1)(420.1~ 482.4)(482.4~ 544.7)(544.7~ 607.0)( 607.0~ 669.3 )

%%%%%%%

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet1

Sheet2

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet2

Sheet3

Chart4

3.610.17.7

8.316.213.5

14.323.221.9

19.422.824.3

22.416.819.1

20.18.410.1

11.82.63.4

OECD total

OECD average

Sheet1

(357.8~ 420.1)(420.1~ 482.4)(482.4~ 544.7)(544.7~ 607.0)( 607.0~ 669.3 )

%%%%%%%

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet1

Sheet2

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet2

Sheet3

OECD total

OECD average

OECD total

OECD average

Chart6

3.61.1

8.34.8

14.314.4

19.427.2

22.428.1

20.118.1

11.86.3

Sheet1

(357.8~ 420.1)(420.1~ 482.4)(482.4~ 544.7)(544.7~ 607.0)( 607.0~ 669.3 )

%%%%%%%

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet1

Sheet2

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet2

Sheet3

OECD total

OECD average

OECD total

OECD average

Chart2

3.61.12.92.3

8.34.86.66.5

14.314.414.415.2

19.427.222.723.5

22.428.125.625.5

20.118.118.718

11.86.399.1

Sheet1

(357.8~ 420.1)(420.1~ 482.4)(482.4~ 544.7)(544.7~ 607.0)( 607.0~ 669.3 )

%%%%%%%

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet1

Sheet2

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet2

Sheet3

Chart5

3.61.12.92.33.4

8.34.86.66.59.6

14.314.414.415.218.3

19.427.222.723.526.3

22.428.125.625.524.3

20.118.118.71813.4

11.86.399.14.7

Sheet1

(357.8~ 420.1)(420.1~ 482.4)(482.4~ 544.7)(544.7~ 607.0)( 607.0~ 669.3 )

%%%%%%%

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet1

Sheet2

3.68.314.319.422.420.111.8

1.14.814.427.228.118.16.3

2.96.614.422.725.618.79

2.36.515.223.525.5189.1

3.49.618.326.324.313.44.7

OECD total10.116.223.222.816.88.42.6

OECD average7.713.521.924.319.110.13.4

Sheet2

Sheet3

OECD total

OECD average

OECD total

OECD average

(OECD)

OECD

OECD

OECD

S.E.

Range of rank

OECD

Upper rank

lower rank

Upper rank

lower rank

549

(4.1)

1

4

548

(2.3)

1

2

1

4

547

(2.7)

1

4

547

(3.8)

1

2

1

4

531

(2.6)

3

5

5

530

(3.3)

3

6

5

9

527

(2.0)

3

6

5

10

525

(4.6)

7

11

525

(1.3)

5

13

524

(3.3)

4

9

6

13

522

(3.2)

5

9

8

13

522

(2.5)

6

10

8

14

522

(2.9)

6

9

10

14

515

(2.7)

12

16

513

(2.6)

9

11

13

16

510

(3.6)

10

14

14

20

507

(1.5)

11

15

16

21

505

(3.7)

10

16

15

22

504

(1.0)

17

21

504

(4.0)

11

17

16

23

502

(2.4)

12

17

17

23

501

(2.8)

12

17

17

23

496

(3.2)

15

22

21

28

495

(2.1)

16

21

22

27

495

(2.4)

16

21

22

27

492

(2.8)

17

23

23

30

491

(2.9)

18

23

24

31

490

(1.1)

20

23

26

30

490

(2.6)

19

23

25

31

486

(3.0)

27

32

486

(2.8)

27

32

480

(2.3)

24

25

31

34

476

(2.2)

32

35

475

(3.9)

32

36

474

(4.0)

24

26

32

36

467

(2.4)

35

38

466

(3.0)

25

27

35

38

462

(2.2)

26

28

37

39

459

(3.0)

27

28

38

39

443

(4.2)

40

41

435

(3.5)

40

41

427

(2.6)

42

43

424

(4.9)

29

29

41

45

417

(2.3)

43

46

414

(4.3)

43

47

413

(6.1)

43

48

411

(4.5)

44

48

405

(2.9)

30

30

46

48

399

(1.4)

49

50

390

(5.6)

49

52

384

(3.3)

50

52

381

(6.2)

50

53

370

(3.8)

52

55

370

(2.9)

53

55

365

(4.0)

53

55

318

(1.0)

56

56

311

(3.4)

57

57

549

548

547

547

531

530

527

525

525

524

522

522

522

515

513

510

507

505

504

504

502

501

496

495

495

492

491

490

490

486

486

480

476

475

474

467

466

462

459

443

435

427

424

417

414

413

411

405

399

390

384

381

370

370

365

318

311

S.E.

4.1

2.3

2.7

3.8

2.6

3.3

2.0

4.6

1.3

3.3

3.2

2.5

2.9

2.7

2.6

3.6

1.5

3.7

1.0

4.0

2.4

2.8

3.2

2.1

2.4

2.8

2.9

1.1

2.6

3.0

2.8

2.3

2.2

3.9

4.0

2.4

3.0

2.2

3.0

4.2

3.5

2.6

4.9

2.3

4.3

6.1

4.5

2.9

1.4

5.6

3.3

6.2

3.8

2.9

4.0

1.0

3.4

549

(4.1)

0

548

(2.3)

0

0

547

(2.7)

0

0

547

(3.8)

0

0

531

(2.6)

0

0

0

0

0

530

(3.3)

0

0

0

0

0

0

0

0

527

(2.0)

0

0

0

0

0

0

0

0

525

(4.6)

0

0

0

0

0

0

0

0

525

(1.3)

0

0

0

0

0

0

0

0

524

(3.3)

0

0

0

0

0

0

0

0

522

(3.2)

0

0

0

0

0

0

0

0

522

(2.5)

0

0

0

0

0

0

0

0

522

(2.9)

0

0

0

0

0

0

0

0

515

(2.7)

0

0

0

0

0

513

(2.6)

0

0

0

0

510

(3.6)

0

0

0

0

0

0

0

0

507

(1.5)

0

0

0

0

0

0

505

(3.7)

0

0

0

0

0

0

0

504

(1.0)

0

0

0

0

0

0

504

(4.0)

0

0

0

0

0

0

0

0

502

(2.4)

0

0

0

0

0

0

0

501

(2.8)

0

0

0

0

0

0

0

0

0

496

(3.2)

0

0

0

0

0

0

0

0

0

495

(2.1)

0

0

0

0

0

0

495

(2.4)

0

0

0

0

0

0

0

492

(2.8)

0

0

0

0

0

0

0

0

491

(2.9)

0

0

0

0

0

0

0

0

490

(1.1)

0

0

0

0

0

0

0

490

(2.6)

0

0

0

0

0

0

0

0

486

(3.0)

0

0

0

0

0

0

486

(2.8)

0

0

0

0

0

0

480

(2.3)

0

0

0

0

0

476

(2.2)

0

0

0

475

(3.9)

0

0

0

0

0

474

(4.0)

0

0

0

0

0

467

(2.4)

0

0

0

0

0

466

(3.0)

0

0

0

0

0

462

(2.2)

0

0

0

459

(3.0)

0

0

0

443

(4.2)

0

435

(3.5)

0

0

427

(2.6)

0

424

(4.9)

0

0

0

0

0

0

417

(2.3)

0

0

0

0

414

(4.3)

0

0

0

0

0

413

(6.1)

0

0

0

0

0

411

(4.5)

0

0

0

0

0

405

(2.9)

0

0

0

0

399

(1.4)

0

0

390

(5.6)

0

0

0

384

(3.3)

0

0

381

(6.2)

0

0

0

0

370

(3.8)

0

0

0

370

(2.9)

0

0

0

365

(4.0)

0

0

318

(1.0)

311

(3.4)

(%)

_1259834331.xls

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3.68.915.720.422.518.610.2

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Contents

PISA 2006: Science Competencies for Tomorrow's World

Chapter 4Quality and equity in the performance of students and schools

Figures

Figure 4.1Variance in student performance between schools and within schools on the science scale

Figure 4.2aStudent performance on the science scale by immigrant status

Figure 4.2bPercentage of second-generation versus native students scoring below Level 2 on the science scale

Figure 4.3Characteristics of schools attended by native students and students with an immigrant background

Figure 4.4Differences between native students and students with an immigrant background with regard to their personal value of science, enjoyment of science and future-oriented science motivation

Figure 4.5Relationship between student performance in science and socio-economic background for the OECD area as a whole

Figure 4.6How socio-economic background relates to student performance in science

Figure 4.7Difference between the unadjusted mean score and the mean score on the science scale if the mean PISA index of economic, social and cultural status were equal in all OECD countries

Figure 4.8Student variability in the distribution of the PISA index of economic, social and cultural status (ESCS)

Figure 4.9School variability in the distribution of the PISA index of economic, social and cultural status (ESCS)

Figure 4.10Performance in science and the impact of socio-economic background

Figure 4.11Within-school and between school socio-economic effect

Figure 4.12Effects of students' and schools' socio-economic background on student performance in science

Figure 4.13Socio-economic background and the role of parents

Figure 4.14aRelationship between school performance and schools socio-economic background in Denmark, Portugal, Korea and the United Kingdom

Figure 4.14bRelationship between school performance and schools socio-economic background in Sweden and Mexico

Figure 4.14cRelationship between school performance and schools socio-economic background in the United States, Germany, Spain and Norway

Figure 4.14dRelationship between school performance and schools socio-economic background in Belgium, Switzerland, New Zealand and Finland

Figure 4.14eRelationship between school performance and schools socio-economic background: school mean score 300-700

Figure 4.14fRelationship between school performance and schools' socio-economic background: school mean score 200-600 and 100-500

OECD 2007

&R&D &T &Z&F &A

DataF4.1

Table 4.1a

Between-school and within-school variance in student performance on the science scale in 2006

Sort by this col

Total variance in SP between schools4Total variance in SP within schools

Between-school variance explainedWithin-school variance explained

ACBD

Bulgaria-69.6-47.559.10.9

Germany-66.2-49.450.61.4

Slovenia-64.8-46.242.60.3

Czech Republic-62.4-43.555.71.8

Austria-60.7-40.150.50.6

Hungary-60.5-47.538.30.2

Netherlands-59.6-41.139.90.7

Belgium-57.0-40.752.82.0

Argentina-53.2-31.458.11.6

Chile-53.0-38.852.00.7

Japan-53.0-29.059.20.1

Italy-52.6-27.651.60.5

Greece-48.5-29.154.91.8

Chinese Taipei-45.8-26.451.51.0

Israel-44.4-20.095.74.1

Brazil-41.4-24.146.40.7

Slovak Republic-40.9-23.355.32.5

Turkey-40.8-24.335.70.7

Uruguay-39.6-23.957.52.0

Switzerland-37.5-17.066.54.8

Romania-35.5-19.837.51.0

Serbia-34.3-22.948.51.0

Hong Kong-China-34.1-13.658.10.6

Croatia-33.8-20.449.71.3

Tunisia-32.3-12.643.80.2

Korea-31.8-16.959.10.4

Kyrgyzstan-30.7-17.448.10.2

Luxembourg-30.5-27.372.35.9

United States-29.1-18.993.67.7

Portugal-27.8-14.758.33.6

Thailand-25.6-18.043.50.6

Mexico-25.5-13.338.00.4

Lithuania-25.5-15.065.13.9

Colombia-25.2-14.156.81.4

Russian Federation-24.1-8.266.62.2

United Kingdom-23.5-14.897.46.4

Montenegro-20.2-12.050.60.9

New Zealand-20.0-14.9105.610.2

Australia-19.8-12.590.74.4

Jordan-19.7-7.867.23.3

Indonesia-19.4-8.025.30.0

Macao-China-19.2-2.254.80.3

Azerbaijan-17.9-2.518.00.4

Canada-17.9-7.178.93.2

Ireland-16.9-11.482.35.0

Estonia-16.0-6.561.22.9

Denmark-14.8-8.281.68.3

Latvia-14.5-6.763.93.1

Spain-12.7-6.273.95.3

Poland-12.2-5.878.68.7

Sweden-11.5-6.185.56.1

Norway-9.9-3.788.45.2

Iceland-9.3-0.295.06.3

Finland-4.7-1.376.45.5

OECD average-33.0-20.567.23.7

3. The sum of the between- and within-school variance components, as an estimate from a sample, does not necessarily add up to the total.

DataF4.2a

Table 4.2a

Distribution of student performance on the science scale by immigrant status

Native studentsSecond-generation studentsFirst-generation students

Hong Kong-China547551521

Canada541528519

Liechtenstein540510483

New Zealand536508526

Netherlands534455467

Germany532439455

Switzerland531462436

Australia529528527

Austria523431435

Belgium523443430

United Kingdom519493479

Sweden512464434

Luxembourg511445445

France505456438

Macao-China504519500

Denmark503418414

United States499456442

Croatia497481475

Russian Federation481468467

Israel462445468

Serbia436444444

Jordan422445451

Qatar330366414

&R&D &T &Z&F &A

DataF4.2b

Second-generation students - Proficiency levelsNative students - Proficiency levelsNative students - Proficiency levels

Below level 1(below 334.81 score points)Level 1(from 334.81 to 409.45 score points)Below level 1(below 334.48 score points)Level 1(from 334.48 to 409.14 score points)Below level 1(below 334.48 score points)Level 1(from 334.48 to 409.14 score points)

Qatar36.936.0-55.9-31.555.931.5

Denmark19.428.4-3.0-12.63.012.6

Austria18.526.8-2.0-9.82.09.8

Germany14.325.8-1.9-8.41.98.4

Israel15.822.0-12.7-20.412.720.4

Belgium12.225.4-3.0-9.83.09.8

Luxembourg10.626.8-2.4-9.72.49.7

Serbia7.428.1-12.0-26.512.026.5

France12.722.4-4.8-13.14.813.1

United States10.524.6-5.8-15.25.815.2

Jordan9.624.1-15.7-29.215.729.2

Netherlands8.624.2-1.3-8.91.38.9

Switzerland9.322.0-1.7-7.71.77.7

Sweden7.021.5-2.4-10.72.410.7

Slovenia6.221.5-2.4-9.72.49.7

Russian Federation7.417.8-4.8-16.64.816.6

New Zealand6.714.1-2.9-8.62.98.6

United Kingdom4.615.9-4.1-11.24.111.2

Croatia2.217.1-3.0-13.03.013.0

Latvia2.315.7-3.2-13.23.213.2

Liechtenstein2.214.9-0.7-5.20.75.2

Australia2.610.2-2.6-9.12.69.1

Canada2.09.5-1.6-6.51.66.5

Estonia1.39.7-0.9-5.70.95.7

Macao-China0.96.9-1.6-11.21.611.2

Hong Kong-China1.15.7-1.7-6.41.76.4

DataF4.3

Table 4.3dNEW BOLDINGTable 4.3dTable 4.3dTable 4.3d

Characteristics of schools attended by native and immigrant studentsCharacteristics of schools attended by native and immigrant studentsCharacteristics of schools attended by native and immigrant studentsCharacteristics of schools attended by native and immigrant students

(scores standardised within each country sample)(scores standardised within each country sample)(scores standardised within each country sample)(scores standardised within each country sample)

Sort by this sum, and after by ESCS, and after by Quality.

Positive value indicates more favourable characteristicsNegative value indicates more favourable characteristicsPositive value indicates more favourable characteristicsNegative value indicates more favourable characteristicsPositive value indicates more favourable characteristicsNegative value indicates more favourable characteristicsPositive value indicates more favourable characteristicsNegative value indicates more favourable characteristicsPositive value indicates more favourable characteristicsNegative value indicates more favourable characteristics

ESCSQuality of educational resourcesStudent/teacher ratioTeacher shortageESCSQuality of educational resourcesStudent/teacher ratioTeacher shortageESCSQuality of educational resourcesStudent/teacher ratioTeacher shortageESCSQuality of educational resourcesStudent/teacher ratioTeacher shortageESCSQuality of educational resourcesStudent/teacher ratioTeacher shortage

Native studentsImmigrant studentsNative studentsImmigrant studentsNative studentsImmigrant studentsNative studentsImmigrant studentsDif Nat - ImmT-testDif Nat - ImmT-testDif Nat - ImmT-testDif Nat - ImmT-testDif Nat - ImmT-testDif Nat - ImmT-testDif Nat - ImmT-testDif Nat - ImmT-testDif Nat - ImmDif Nat - ImmDif Nat - ImmDif Nat - ImmDif Nat - ImmDif Nat - ImmDif Nat - ImmDif Nat - Imm

Mean indexS.E.Mean indexS.E.Mean indexS.E.Mean indexS.E.Mean indexS.E.Mean indexS.E.Mean indexS.E.Mean indexS.E.DifS.E.(dif)DifS.E.(dif)DifS.E.(dif)DifS.E.(dif)DifDifDifDifDifDifDifDifDifDifDifDif

OECD countriesOECD countriesAustralia0.50-1.14-1.521.10Jordan17+ ++ +- -2.002.00-2.000.002.00

Australia0.01(0.02)-0.02(0.05)-0.02(0.05)0.08(0.08)-0.05(0.05)0.18(0.15)0.02(0.05)-0.08(0.08)Australia0.03(0.05)0.50-0.10(0.09)-1.14-0.23(0.15)-1.520.11(0.10)1.10Austria- - -6.730.78+2.02-0.76Latvia7+ +0.002.000.000.002.00

Austria0.09(0.03)-0.63(0.10)0.02(0.08)-0.11(0.15)0.03(0.06)-0.17(0.07)-0.02(0.08)0.10(0.13)Austria0.72(0.11)6.730.13(0.17)0.780.19(0.10)2.02-0.12(0.15)-0.76Belgium- - -10.06-0.19+ +2.87- --4.26Estonia12+ +0.000.000.002.002.00

Belgium0.09(0.02)-0.60(0.07)-0.00(0.06)0.03(0.14)0.04(0.04)-0.27(0.10)-0.06(0.06)0.41(0.09)Belgium0.69(0.07)10.06-0.03(0.15)-0.190.31(0.11)2.87-0.47(0.11)-4.26Canada1.51-0.420.041.78Qatar40++- -+1.001.00-2.001.001.00

Canada0.02(0.02)-0.06(0.05)-0.01(0.05)0.04(0.11)0.00(0.04)-0.00(0.09)0.04(0.05)-0.13(0.08)Canada0.08(0.05)1.51-0.05(0.12)-0.420.00(0.10)0.040.17(0.10)1.78Denmark- - -13.671.660.130.46Montenegro7+ +--2.000.00-1.00-1.000.00

Czech Republic0.01(0.03)cc-0.00(0.08)cc-0.00(0.07)cc-0.01(0.07)ccCzech Republic0.00(0.03)0.000.00(0.08)0.000.00(0.07)0.000.00(0.07)0.00France- - -7.27Australia220.000.000.000.000.00

Denmark0.07(0.03)-0.93(0.07)0.02(0.07)-0.23(0.13)0.00(0.07)-0.02(0.11)0.01(0.08)-0.07(0.14)Denmark1.00(0.07)13.670.25(0.15)1.660.02(0.13)0.130.07(0.16)0.46Germany- - -12.950.940.81- --4.94Canada210.000.000.000.000.00

Finland0.01(0.02)cc-0.00(0.08)cc0.00(0.07)cc-0.00(0.08)ccFinland0.00(0.02)0.000.00(0.08)0.000.00(0.07)0.000.00(0.08)0.00Greece- -6.89- -2.410.130.17Ireland60.000.000.000.000.00

France0.09(0.03)-0.59(0.09)wwwwwwwwwwwwFrance0.67(0.09)7.270.00(0.00)0.000.00(0.00)0.000.00(0.00)0.00Ireland-1.22-0.800.57-0.26Portugal60.000.000.000.000.00

Germany0.11(0.03)-0.67(0.05)0.02(0.07)-0.11(0.11)0.01(0.06)-0.08(0.10)-0.07(0.06)0.41(0.08)Germany0.79(0.06)12.950.12(0.13)0.940.10(0.12)0.81-0.48(0.10)-4.94Italy- -8.11-0.49+2.21-0.02Russian Federation90.000.000.000.000.00

Greece0.04(0.04)-0.46(0.06)0.02(0.09)-0.27(0.09)0.00(0.07)-0.02(0.11)0.00(0.08)-0.02(0.13)Greece0.49(0.07)6.890.29(0.12)2.410.02(0.13)0.130.03(0.15)0.17Luxembourg- - -30.25+-4.440.97+3.33Serbia90.000.000.000.000.00

Hungary-0.00(0.03)cc0.00(0.07)cc0.00(0.07)cc0.00(0.07)ccHungary0.00(0.03)0.000.00(0.07)0.000.00(0.07)0.000.00(0.07)0.00Netherlands- - -10.611.671.95-0.84Spain7- -+ +-2.000.002.000.000.00

Iceland0.01(0.01)cc0.00(0.01)cc0.00(0.01)cc-0.00(0.01)ccIceland0.00(0.01)0.000.00(0.01)0.000.00(0.01)0.000.00(0.01)0.00New Zealand-0.47-1.58- --2.422.19Sweden11- -+ +-2.000.002.000.000.00

Ireland-0.01(0.03)0.12(0.10)-0.01(0.08)0.11(0.11)0.00(0.06)-0.07(0.12)-0.00(0.08)0.03(0.10)Ireland-0.13(0.11)-1.22-0.11(0.14)-0.800.08(0.13)0.57-0.03(0.13)-0.26Norway- - -9.23-1.53-1.270.85United Kingdom9- -+ +-2.000.002.000.000.00

Italy0.02(0.02)-0.44(0.05)-0.00(0.05)0.04(0.07)0.01(0.04)-0.19(0.08)-0.00(0.07)0.00(0.09)Italy0.46(0.06)8.11-0.04(0.09)-0.490.19(0.09)2.21-0.00(0.11)-0.02Portugal-0.361.681.020.48Italy4- -+-2.000.001.000.00-1.00

Japan0.00(0.02)cc-0.00(0.07)cc0.00(0.07)cc0.00(0.07)ccJapan0.00(0.02)0.000.00(0.07)0.000.00(0.07)0.000.00(0.07)0.00Spain- -3.170.34+ +6.031.65Luxembourg36- - -++-3.001.000.001.00-1.00

Korea0.00(0.03)cc0.00(0.08)cc0.00(0.06)cc-0.00(0.08)ccKorea0.00(0.03)0.000.00(0.08)0.000.00(0.06)0.000.00(0.08)0.00Sweden- -6.26-1.18+ +2.520.03Macao-China74- - -++-3.001.000.001.00-1.00

Luxembourg0.30(0.01)-0.53(0.02)-0.04(0.01)0.07(0.02)0.01(0.01)-0.01(0.02)0.03(0.01)-0.04(0.02)Luxembourg0.83(0.03)30.25-0.10(0.02)-4.440.02(0.02)0.970.07(0.02)3.33Switzerland- - -13.890.331.88-1.31New Zealand21- -0.000.00-2.000.00-2.00

Mexico0.01(0.03)cc0.01(0.05)cc0.00(0.06)cc-0.01(0.05)ccMexico0.00(0.03)0.000.00(0.05)0.000.00(0.06)0.000.00(0.05)0.00United Kingdom- -3.14-0.84+ +3.440.54Croatia12- --2.000.000.000.00-2.00

Netherlands0.10(0.02)-0.81(0.08)0.02(0.07)-0.18(0.09)0.03(0.08)-0.25(0.13)-0.01(0.07)0.09(0.10)Netherlands0.91(0.09)10.610.20(0.12)1.670.29(0.15)1.95-0.10(0.12)-0.84United States- - -7.07-0.27- --2.980.01Israel23- --2.000.000.000.00-2.00

New Zealand-0.01(0.02)0.02(0.05)-0.03(0.07)0.12(0.07)-0.06(0.07)0.22(0.09)0.04(0.06)-0.14(0.06)New Zealand-0.03(0.05)-0.47-0.16(0.10)-1.58-0.28(0.12)-2.420.18(0.08)2.19Croatia- -8.570.73-0.02-0.35Austria13- - -+-3.000.001.000.00-2.00

Norway0.04(0.02)-0.69(0.08)-0.02(0.08)0.24(0.15)-0.01(0.07)0.14(0.09)0.01(0.06)-0.12(0.13)Norway0.73(0.08)9.23-0.26(0.17)-1.53-0.15(0.12)-1.270.12(0.15)0.85Estonia1.22-0.240.07+ +3.25France13- - -www-3.00www-3.00

Poland-0.00(0.02)cc0.00(0.07)cc0.00(0.06)cc0.00(0.08)ccPoland0.00(0.02)0.000.00(0.07)0.000.00(0.06)0.000.00(0.08)0.00Hong Kong-China- - -13.980.260.10-0.43Belgium13- - -+ +- --3.000.002.00-2.00-3.00

Portugal-0.00(0.03)0.04(0.11)0.02(0.08)-0.25(0.14)0.01(0.07)-0.18(0.17)0.00(0.08)-0.07(0.14)Portugal-0.04(0.11)-0.360.27(0.16)1.680.19(0.18)1.020.08(0.16)0.48Israel- -5.18-0.971.551.05Denmark8- - --3.000.000.000.00-3.00

Slovak Republic0.00(0.03)cc0.00(0.06)cc0.00(0.08)cc-0.00(0.06)ccSlovak Republic0.00(0.03)0.000.00(0.06)0.000.00(0.08)0.000.00(0.06)0.00Jordan+ +-5.60+ +-2.31- --3.571.61Netherlands11- - --3.000.000.000.00-3.00

Spain0.02(0.03)-0.25(0.08)0.00(0.05)-0.04(0.11)0.03(0.04)-0.41(0.06)0.01(0.06)-0.16(0.08)Spain0.27(0.09)3.170.04(0.12)0.340.44(0.07)6.030.17(0.10)1.65Latvia-1.65+ +-3.53-1.30-0.25Norway6- - --3.000.000.000.00-3.00

Sweden0.05(0.02)-0.44(0.08)-0.02(0.08)0.15(0.13)0.04(0.08)-0.34(0.13)0.00(0.07)-0.00(0.14)Sweden0.49(0.08)6.26-0.17(0.15)-1.180.38(0.15)2.520.00(0.16)0.03Macao-China- - -15.76+-6.23-0.29+4.02Switzerland22- - --3.000.000.000.00-3.00

Switzerland0.13(0.02)-0.45(0.04)0.01(0.07)-0.02(0.06)0.04(0.06)-0.13(0.06)-0.02(0.06)0.08(0.06)Switzerland0.58(0.04)13.890.03(0.09)0.330.16(0.09)1.88-0.11(0.08)-1.31Montenegro+ +-2.830.71--2.54--2.07Hong Kong-China44- - --3.000.000.000.00-3.00

Turkey-0.01(0.04)cc-0.00(0.09)cc0.00(0.08)cc-0.00(0.08)ccTurkey0.00(0.04)0.000.00(0.09)0.000.00(0.08)0.000.00(0.08)0.00Qatar+2.58+-5.47- --6.62+5.74Greece8- -- --2.00-2.000.000.00-4.00

United Kingdom0.02(0.02)-0.25(0.09)-0.01(0.07)0.15(0.18)0.04(0.05)-0.41(0.12)0.01(0.06)-0.07(0.14)United Kingdom0.28(0.09)3.14-0.16(0.19)-0.840.45(0.13)3.440.08(0.15)0.54Russian Federation0.74-0.98-0.250.24Slovenia10- - ---3.00-1.000.000.00-4.00

United States0.11(0.04)-0.59(0.09)-0.01(0.09)0.04(0.13)-0.07(0.09)0.42(0.14)0.00(0.09)-0.00(0.13)United States0.69(0.10)7.07-0.04(0.16)-0.27-0.49(0.16)-2.980.00(0.16)0.01Serbia1.110.13-1.900.79Germany14- - -- --3.000.000.00-2.00-5.00

OECD total0.02(0.01)-0.24(0.04)-0.02(0.03)0.16(0.07)-0.01(0.02)0.06(0.05)-0.01(0.03)0.08(0.06)OECD total0.26(0.04)7.08-0.18(0.07)-2.44-0.07(0.06)-1.22-0.09(0.07)-1.29Slovenia- - -16.25-3.94-0.54-1.57United States15- - -- --3.000.00-2.000.00-5.00

OECD average0.04(0.00)-0.41(0.02)-0.00(0.01)-0.01(0.03)0.00(0.01)-0.08(0.02)-0.00(0.01)0.01(0.02)OECD average0.46(0.02)26.630.01(0.03)0.220.09(0.03)3.19-0.01(0.03)-0.43Schools have similar characteristics9242024

Partner countriesPartner countriesSchools have characteristics which favour immigrant students35643564

Argentina0.01(0.06)cc-0.00(0.06)cc0.00(0.10)cc0.00(0.08)ccArgentina0.00(0.06)0.000.00(0.06)0.000.00(0.10)0.000.00(0.08)0.00Schools have characteristics which favour native students2025320253

Azerbaijan-0.01(0.03)cc0.00(0.07)cc-0.00(0.08)cc0.01(0.08)ccAzerbaijan0.00(0.03)0.000.00(0.07)0.000.00(0.08)0.000.00(0.08)0.00

Brazil0.01(0.03)cc0.00(0.04)cc0.00(0.06)cc-0.00(0.05)ccBrazil0.00(0.03)0.000.00(0.04)0.000.00(0.06)0.000.00(0.05)0.00

Bulgaria-0.00(0.05)cc-0.00(0.08)cc-0.00(0.10)cc0.00(0.08)ccBulgaria0.00(0.05)0.000.00(0.08)0.000.00(0.10)0.000.00(0.08)0.00

Chile-0.00(0.05)cc-0.00(0.09)cc0.00(0.10)cc-0.00(0.09)ccChile0.00(0.05)0.000.00(0.09)0.000.00(0.10)0.000.00(0.09)0.00

Chinese Taipei0.00(0.03)cc0.00(0.08)cc-0.00(0.07)cc-0.00(0.08)ccChinese Taipei0.00(0.03)0.000.00(0.08)0.000.00(0.07)0.000.00(0.08)0.00

Colombia0.00(0.04)cc0.00(0.07)cc-0.00(0.12)cc0.00(0.10)ccColombia0.00(0.04)0.000.00(0.07)0.000.00(0.12)0.000.00(0.10)0.00

Croatia0.05(0.02)-0.36(0.04)0.01(0.07)-0.09(0.11)-0.00(0.07)0.00(0.09)-0.00(0.07)0.03(0.08)Croatia0.41(0.05)8.570.10(0.14)0.73-0.00(0.11)-0.02-0.04(0.11)-0.35

Estonia0.01(0.02)-0.07(0.06)-0.01(0.07)0.04(0.17)0.00(0.04)-0.01(0.13)0.05(0.06)-0.40(0.13)Estonia0.07(0.06)1.22-0.04(0.18)-0.240.01(0.14)0.070.45(0.14)3.25

Hong Kong-China0.30(0.04)-0.38(0.03)0.01(0.09)-0.02(0.08)0.00(0.07)-0.01(0.07)-0.03(0.09)0.03(0.10)Hong Kong-China0.67(0.05)13.980.03(0.12)0.260.01(0.10)0.10-0.06(0.13)-0.43

Indonesia0.00(0.05)cc-0.00(0.07)cc-0.00(0.07)cc-0.00(0.06)ccIndonesia0.00(0.05)0.000.00(0.07)0.000.00(0.07)0.000.00(0.06)0.00

Israel0.07(0.03)-0.22(0.05)-0.03(0.08)0.10(0.11)0.04(0.07)-0.14(0.09)0.04(0.10)-0.12(0.11)Israel0.29(0.06)5.18-0.13(0.13)-0.970.18(0.12)1.550.15(0.15)1.05

Jordan-0.05(0.03)0.26(0.05)-0.05(0.08)0.23(0.09)-0.07(0.05)0.35(0.11)0.03(0.08)-0.16(0.09)Jordan-0.32(0.06)-5.60-0.28(0.12)-2.31-0.42(0.12)-3.570.19(0.12)1.61

Kyrgyzstan-0.01(0.03)cc-0.00(0.06)cc-0.01(0.07)cc-0.00(0.08)ccKyrgyzstan0.00(0.03)0.000.00(0.06)0.000.00(0.07)0.000.00(0.08)0.00

Latvia-0.01(0.03)0.10(0.06)-0.03(0.07)0.44(0.11)-0.01(0.09)0.13(0.06)-0.00(0.08)0.03(0.11)Latvia-0.11(0.07)-1.65-0.47(0.13)-3.53-0.14(0.11)-1.30-0.03(0.14)-0.25

Liechtensteinccccccccc(0.04)ccccccLiechtenstein0.00c0.000.00c0.000.00c0.000.00c0.00

Lithuania-0.00(0.03)cc0.01(0.07)cc0.01(0.07)cc0.01(0.08)ccLithuania0.00(0.03)0.000.00(0.07)0.000.00(0.07)0.000.00(0.08)0.00

Macao-China0.38(0.03)-0.13(0.02)-0.10(0.02)0.04(0.01)-0.01(0.02)0.00(0.01)0.06(0.02)-0.02(0.01)Macao-China0.51(0.03)15.76-0.14(0.02)-6.23-0.01(0.03)-0.290.08(0.02)4.02

Montenegro-0.01(0.02)0.18(0.07)0.00(0.00)-0.03(0.05)-0.01(0.00)0.09(0.04)-0.01(0.01)0.14(0.07)Montenegro-0.20(0.07)-2.830.04(0.05)0.71-0.10(0.04)-2.54-0.15(0.07)-2.07

Qatar0.02(0.02)-0.03(0.02)-0.04(0.01)0.06(0.02)-0.09(0.02)0.13(0.03)0.04(0.01)-0.06(0.01)Qatar0.06(0.02)2.58-0.10(0.02)-5.47-0.22(0.03)-6.620.10(0.02)5.74

Romania-0.00(0.04)cc-0.00(0.08)cc0.00(0.07)cc0.00(0.09)ccRomania0.00(0.04)0.000.00(0.08)0.000.00(0.07)0.000.00(0.09)0.00

Russian Federation0.01(0.04)-0.05(0.07)-0.01(0.05)0.08(0.08)-0.00(0.06)0.02(0.08)0.00(0.07)-0.02(0.06)Russian Federation0.06(0.08)0.74-0.09(0.09)-0.98-0.03(0.10)-0.250.02(0.09)0.24

Serbia0.01(0.03)-0.06(0.06)0.00(0.07)-0.01(0.10)-0.02(0.09)0.21(0.09)0.01(0.07)-0.09(0.09)Serbia0.07(0.06)1.110.02(0.12)0.13-0.24(0.12)-1.900.09(0.12)0.79

Slovenia0.07(0.01)-0.63(0.04)0.01(0.01)-0.13(0.03)-0.00(0.01)0.02(0.04)-0.01(0.01)0.07(0.05)Slovenia0.70(0.04)16.250.14(0.04)3.94-0.02(0.04)-0.54-0.08(0.05)-1.57

Thailand0.00(0.03)cc-0.00(0.06)cc0.00(0.08)cc-0.00(0.07)ccThailand0.00(0.03)0.000.00(0.06)0.000.00(0.08)0.000.00(0.07)0.00

Tunisia-0.00(0.05)cc-0.00(0.07)cc0.00(0.07)cc0.00(0.08)ccTunisia0.00(0.05)0.000.00(0.07)0.000.00(0.07)0.000.00(0.08)0.00

Uruguay-0.00(0.03)cc-0.00(0.05)cc0.00(0.05)cc0.00(0.05)ccUruguay0.00(0.03)0.000.00(0.05)0.000.00(0.05)0.000.00(0.05)0.00

Note: Values that are statistically significant are indicated in bold (see Annex A3).

&R&D &T &Z&F &A

DataF4.4

Table 3.23

Effect size for immigrant background students versus native students for science attitudinal indices

Results based on students' self-reports

Personal value of scienceEnjoyment of scienceFuture-oriented science motivation

Australia-0.22-0.28-0.27

Austria-0.16-0.10-0.18

Belgium-0.15-0.18-0.14

Canada-0.25-0.24-0.26

Denmark-0.29-0.23-0.31

France-0.16-0.22-0.19

Germany0.150.140.02

Greece0.00-0.090.04

Ireland-0.23-0.26-0.29

Italy0.06-0.02-0.07

Luxembourg0.000.03-0.02

Netherlands-0.17-0.28-0.15

New Zealand-0.34-0.39-0.39

Norway-0.14-0.19-0.35

Portugal0.120.020.15

Spain-0.19-0.27-0.23

Sweden-0.26-0.29-0.32

Switzerland-0.030.03-0.10

Turkeyccc

United Kingdom-0.36-0.33-0.31

United States-0.01-0.11-0.13

Croatia-0.04-0.020.03

Estonia0.03-0.01-0.39

Hong Kong-China-0.09-0.05-0.08

Israel0.070.00-0.02

Jordan0.050.050.04

Latvia-0.26-0.17-0.29

Liechtenstein-0.32-0.16-0.27

Macao-China-0.00-0.110.03

Montenegro0.030.010.05

Qatar-0.26-0.35-0.26

Russian Federation0.040.010.06

Serbia0.180.170.17

Slovenia0.210.130.14

Note: Values that are statistically significant are indicated in bold (see Annex A3).

Max0.21

Min-0.39

DataF4.5

497students

This part is for the graphic presentation of gray dots. (based on August version of the data base)This part is for the proficiency level lines (updated on 28 Sep)This part is for the red regression line (updated on 28 Sep)

ESCSPV1SCIESample (no weights)Sample (student final weights)Total in data (no weights)Total in data (student final weights)L0-1L1-2L2-3L3-4L4-5L5-6tttUnadjusted mean scoreSlope of the socio-economic gradient1Length of the projection of the gradient lineESCS meanIndex of curvelinearity2

-4.3429430.57AUS141824180.550000000114262243739.01679999810%-4334.94409.54484.14558.73633.33707.93900Mean scoreScore point difference associated with one unit on the ESCS5th percentile of the ESCS95th percentile of the ESCSMean indexScore point difference associated with one unit on the ESCS squared

-4.2738439.25AUT4838829.316492789925.108100000310%4334.94409.54484.14558.73633.33707.93900IndexIndex-2.01397.2207350178

-4.0648401.00BEL91112627.40738857123161.456810%TOT49145-2.001.47-0.10-0.86-2.00397.7036519712

-3.9972337.37CAN222736221.726922646370879.36750000710%-1.99398.1863974589

-3.9748371.14CHE11708470.8541219289633.843800001210%-1.98398.6689714809

-3.8902410.14CZE63014134.0655932128827.195611%-1.97399.1513740373

-3.8293283.44DEU47889193.79389999994891903512.445610%-1.96399.6336051281

-3.7954394.47DNK4515633.3088453257012.635400000410%-1.95400.1156647532

-3.7314420.87ESP191638319.459000000119604381685.92279999710%-1.94400.5975529127

-3.7242332.05FIN4986447.0025471461386.984099999611%-1.93401.0792696065

-3.7242390.46GBR135878411.479199999813152732003.69850000210%-1.92401.5608148347

-3.7221289.79GRC51410300.6683487396411.694100000311%-1.91402.0421885973

-3.7132358.08HUN45010390.6534490106010.049210%-1.90402.5233908942

-3.5523332.89IRL4655553.7111458555114.263199999810%-1.89403.0044217254

-3.5497241.74ISL380467.006337894624.391610%-1.88403.485281091

-3.5459418.54ITA219452722.183199999921773520055.19410000310%-1.87403.965968991

-3.5362355.19JPN598112383.719859521113700.9357999910%-1.86404.4464854253

-3.5362361.63KOR49555516.2445176576669.34679999510%-1.85404.926830394

-3.5163374.03LUX458474.694945674733.010810%-1.84405.407003897

-3.4867453.52MEX3056114313.3635309711190420.0898000210%-1.83405.8870059344

-3.4867479.18NLD52920451.34424871189575.821911%-1.82406.3668365062

-3.4839452.13NOR4475835.6735469259884.493199999810%-1.81406.8464956123

-3.4807382.06NZL5095725.6781482353397.587399999111%-1.80407.3259832528

-3.4180495.98POL57453076.60510000015547515992.96449999610%-1.79407.8052994276

-3.3705401.09PRT4948439.8234510990078.880000000210%-1.78408.2844441368

-3.3578258.53SVK4427044.8916473176200.83770000069%-1.77408.7634173803

-3.3558329.25SWE44712587.20954443126392.73560000110%-1.76409.2422191582

-3.3558330.09TUR45760404.02214942665477.2801000019%-1.75409.7208494704

-3.3515294.64USA519340927.19540000156113578039.600099989%-1.74410.199308317

-3.3471300.52Total245681199083.649624665412204546.850910%-1.73410.677595698

-3.3455449.61-1.72411.1557116133

-3.3413317.96-1.71411.633656063

-3.3394361.63-1.70412.111429047

-3.3202316.10-1.69412.5890305654

-3.3035309.29-1.68413.0664606181

-3.3035420.40-1.67413.5437192052

-3.3008464.25-1.66414.0208063266

-3.3008391.95-1.65414.4977219824

-3.2931252.65-1.64414.9744661726

-3.2631384.86-1.63415.4510388971

-3.2569393.81-1.62415.927440156

-3.2444272.53-1.61416.4036699492

-3.2238260.40-1.60416.8797282768

-3.2238385.42-1.59417.3556151387

-3.2194382.62-1.58417.831330535

-3.2105384.48-1.57418.3068744657

-3.2105455.11-1.56418.7822469307

-3.1988406.88-1.55419.2574479301

-3.1824310.59-1.54419.7324774638

-3.1581261.70-1.53420.2073355319

-3.1581469.76-1.52420.6820221343

-3.1581377.77-1.51421.1565372711

-3.1581285.59-1.50421.6308809422

-3.1370397.92-1.49422.1050531477

-3.1323442.98-1.48422.5790538876

-3.1323428.33-1.47423.0528831618

-3.1319543.56-1.46423.5265409704

-3.1319436.54-1.45424.0000273133

-3.1291359.85-1.44424.4733421906

-3.1261329.44-1.43424.9464856022

-3.1199266.55-1.42425.4194575482

-3.1031334.10-1.41425.8922580286

-3.0870370.02-1.40426.3648870433

-3.0870507.17-1.39426.8373445923

-3.0870410.42-1.38427.3096306758

-3.0870274.95-1.37427.7817452935

-3.0827484.78-1.36428.2536884457

-3.0827531.90-1.35428.7254601321

-3.0799455.20-1.34429.197060353

-3.0799321.97-1.33429.6684891082

-3.0799425.54-1.32430.1397463977

-3.0559279.06-1.31430.6108322217

-3.0538474.98-1.30431.0817465799

-3.0390399.23-1.29431.5524894725

-3.0347384.95-1.28432.0230608995

-3.0347466.12-1.27432.4934608609

-3.0347300.33-1.26432.9636893565

-3.0329464.44-1.25433.4337463866

-3.0322373.01-1.24433.903631951

-3.0315342.50-1.23434.3733460498

-3.0075379.54-1.22434.8428886829

-3.0072316.94-1.21435.3122598503

-2.9964296.78-1.20435.7814595522

-2.9879399.41-1.19436.2504877884

-2.9789460.99-1.18436.7193445589

-2.9749257.32-1.17437.1880298638

-2.9749322.91-1.16437.656543703

-2.9749427.21-1.15438.1248860767

-2.9698269.45-1.14438.5930569846

-2.9698451.66-1.13439.0610564269

-2.9698422.55-1.12439.5288844036

-2.9608275.98-1.11439.9965409147

-2.9605284.19-1.10440.46402596

-2.9593373.94-1.09440.9313395398

-2.9519370.02-1.08441.3984816539

-2.9448310.50-1.07441.8654523023

-2.9435389.80-1.06442.3322514852

-2.9403409.11-1.05442.7988792023

-2.9374390.55-1.04443.2653354539

-2.9371400.81-1.03443.7316202397

-2.9265402.96-1.02444.19773356

-2.9265454.92-1.01444.6636754146

-2.9265342.31-1.00445.1294458035

-2.9265535.63-0.99445.5950447268

-2.9250448.58-0.98446.0604721845

-2.9250267.67-0.97446.5257281765

-2.9192272.34-0.96446.9908127029

-2.9098353.42-0.95447.4557257636

-2.9070314.32-0.94447.9204673587

-2.9038381.69-0.93448.3850374881

-2.9022471.81-0.92448.8494361519

-2.9022324.49-0.91449.3136633501

-2.9004388.87-0.90449.7777190826

-2.8995404.08-0.89450.2416033495

-2.8995436.73-0.88450.7053161507

-2.8995352.30-0.87451.1688574863

-2.8995479.37-0.86451.6322273562

-2.8995319.64-0.85452.0954257605

-2.8953338.49-0.84452.5584526991

-2.8860229.24-0.83453.0213081721

-2.8821413.97-0.82453.4839921795

-2.8821421.80-0.81453.9465047212

-2.8821395.68-0.80454.4088457973

-2.8821265.72-0.79454.8710154077

-2.8821316.38-0.78455.3330135525

-2.8745309.57-0.77455.7948402316

-2.8734377.95-0.76456.2564954451

-2.8613355.28-0.75456.717979193

-2.8610472.65-0.74457.1792914752

-2.8548369.56-0.73457.6404322918

-2.8484382.62-0.72458.1014016427

-2.8430405.94-0.71458.562199528

-2.8240259.93-0.70459.0228259476

-2.8182358.83-0.69459.4832809016

-2.8171317.87-0.68459.9435643899

-2.8139281.67-0.67460.4036764126

-2.8139495.51-0.66460.8636169697

-2.8139318.80-0.65461.3233860611

-2.8075496.91-0.64461.7829836869

-2.8065460.43-0.63462.242409847

-2.8065326.36-0.62462.7016645415

-2.8065348.47-0.61463.1607477703

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-1.

pisa 數學素養的評量設計與 台灣學生的表現

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pisa 數學素養的評量設計與台灣學生的表現